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102120341114040 = 23357109119707813
BaseRepresentation
bin10111001110000010111110…
…101010000000110010111000
3111101120121110011012101020120
4113032002332222000302320
5101341114424311122130
61001105234223253240
730336644152220304
oct2716027652006270
9441517404171216
10102120341114040
112a5a1aa2318107
12b55373374a220
1344c9ba34590b2
141b30918040d04
15bc15b7683910
hex5ce0bea80cb8

102120341114040 has 64 divisors (see below), whose sum is σ = 306404120714400. Its totient is φ = 27228260086272.

The previous prime is 102120341113997. The next prime is 102120341114047. The reversal of 102120341114040 is 40411143021201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102120341114040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120341114047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59000827 + ... + 60706986.

Almost surely, 2102120341114040 is an apocalyptic number.

102120341114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120341114040 is an abundant number, since it is smaller than the sum of its proper divisors (204283779600360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102120341114040 is a wasteful number, since it uses less digits than its factorization.

102120341114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119714936 (or 119714932 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102120341114040 its reverse (40411143021201), we get a palindrome (142531484135241).

The spelling of 102120341114040 in words is "one hundred two trillion, one hundred twenty billion, three hundred forty-one million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 7109 14218 21327 28436 35545 42654 56872 71090 85308 106635 142180 170616 213270 284360 426540 853080 119707813 239415626 359123439 478831252 598539065 718246878 957662504 1197078130 1436493756 1795617195 2394156260 2872987512 3591234390 4788312520 7182468780 14364937560 851002842617 1702005685234 2553008527851 3404011370468 4255014213085 5106017055702 6808022740936 8510028426170 10212034111404 12765042639255 17020056852340 20424068222808 25530085278510 34040113704680 51060170557020 102120341114040